Ratio Calculator

Calculate percentages, percentage change, and percentage of numbers.

Ratio Calculator

Calculate, simplify, and compare ratios with step-by-step solutions

Calculation Type

Input Values

:

Mixing Calculator

:

Simplified Ratio

3:4

Original: 3:4

Step-by-Step Solution

GCD is 1, so 3÷1 : 4÷1 = 3:4

As Decimal

0.75

3 ÷ 4

As Percentage

42.86%

3 out of total

Mixing Results

40
Part A
60
Part B
100
Total
Ratio 2:3 out of 5 total parts

Equivalent Ratios

3:4
6:8
9:12
12:16
15:20
18:24

1Mastering Ratio Calculations

Calculate and simplify ratios, proportions, and scaling factors. Whether you're a student, educator, or professional, understanding the mathematical principles behind ratio will enhance your problem-solving abilities. This guide breaks down complex concepts into understandable components and provides practical applications for real-world scenarios.

Mathematical Foundations

The underlying mathematics involves fundamental principles that have wide-ranging applications. Understanding these concepts helps you: • Verify calculator results manually • Apply knowledge to related problems • Develop mathematical intuition • Solve more complex variations • Teach others effectively

Step-by-Step Problem Solving

Approach problems systematically: 1. Identify what you're solving for 2. Gather all necessary information 3. Choose the appropriate formula 4. Perform calculations carefully 5. Verify results make sense 6. Consider alternative methods


2Real-World Applications

Mathematical concepts aren't just theoretical - they have practical applications in many fields.

Professional Applications

Professionals in various fields use these calculations: • Engineers for design and analysis • Scientists for research and experiments • Financial analysts for modeling • Architects for planning and construction • Data scientists for analysis and predictions

Educational Value

For students and educators: • Builds foundational math skills • Develops logical thinking • Prepares for advanced topics • Provides exam preparation • Enables peer tutoring and collaboration

This comprehensive guide is regularly updated to ensure accuracy. Last reviewed: 1/1/2026